Worksheet on Rational Numbers
Practice the questions given in the worksheet on rational numbers.
We know, numbers that can be expressed in the form x/y, where y is a non - zero integer and x is any integer are called rational numbers.
The questions are based on rational number, useful results on rational number, positive rational number and negative rational number.
1. Write down the numerator of each of the following rational numbers:
(i) (-7)/5
(ii) 15/(-4)
(iii) (-17)/(-21)
(iv) 8/9
(v) 5
2. Write down the
denominator of each of the following rational numbers:
(i) (-4)/5
(ii) 11/(-34)
(iii) (-15)/(-82)
(iv) 15
(v) 0
3. Write down the rational number whose numerator is (-3) × 4, and whose denominator is (34 - 23) × (7 - 4).
4. Write the following rational numbers as integers:
17/1, (-23)/1, 35/1, (-77)/1, 91/1.
5. Write the following integers as rational numbers with denominator 1:
-19, 27, 71, -101.
6. Write down the rational number whose numerator is the smallest four digit number and denominator is the largest five digit number.
7. Separate positive and negative rational numbers from the following rational numbers:
(-5)/(-7), 12/(-5), 7/4, 13/(-9), 0, (-18)/(-7), (-95)/116, (-1)/(-9)
8. Which of the following rational numbers are positive?
(i) (-8)/7 (ii) 9/8 (iii) (-19)/(-13) (iv) (-21)/13
9. Which of the following rational numbers are negative?
(i) (-3)/7 (ii) (-5)/-8 (iii) 9/(-83) (iv) (-115)/-197
10. Which is the following statement are true or false?
(i) Every whole number is a rational number.
(ii) Every integer is a rational number.
(ii) 0 is a whole number but it is not a rational number.
Answers for the worksheet on rational numbers are given below to check the exact answers of the above questions on rational number.
Answers:
1. (i) -7
(ii) 15
(iii) -17
(iv) 8
(v) 5
2. (i) 5
(ii) -34
(iii) -82
(iv) 1
(v) any non zero integer
3. (-12)/33
4. 17, -23, 35, -77, 91
5. (-19)/1, 27/1, 71/1, (-101)/1
6. 1000/99999
7. Positive rational numbers: (-5)/(-7), 7/4, (-18)/(-7), (-1)/(-9);
Negative rational numbers: 12/(-5), 13/(-9), (-95)/116
8. (ii) 9/8
(iii) (-19)/(-13)
9. (i) (-3)/7
(iii) 9/(-83)
10. (i) true
(ii) true
(ii) false
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● Rational Numbers
Introduction of Rational Numbers
Is Every Rational Number a Natural Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
Lowest form of a Rational Number
Standard form of a Rational Number
Equality of Rational Numbers using Standard Form
Equality of Rational Numbers with Common Denominator
Equality of Rational Numbers using Cross Multiplication
Comparison of Rational Numbers
Rational Numbers in Ascending Order
Rational Numbers in Descending Order
Representation of Rational Numbers on the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
Properties of Addition of Rational Numbers
Subtraction of Rational Number with Same Denominator
Subtraction of Rational Number with Different Denominator
Subtraction of Rational Numbers
Properties of Subtraction of Rational Numbers
Rational Expressions Involving Addition and Subtraction
Simplify Rational Expressions Involving the Sum or Difference
Multiplication of Rational Numbers
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers
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